|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/operations-research-mock-test-i/
课程评论：没有评论
**课程名称：** 运筹学模拟测试 I **课程概述：** 本模拟测试是运筹学系列测试中的一部分，适合所有水平的学习者。它旨在帮助您评估对基础知识的理解程度，以及如何将其应用于实际问题。该测试可用于准备 GATE 和 IES 等考试，对参加口试和面试也极具价值。 **课程内容涵盖：** 1. **线性规划问题 (LPP)：** * LPP 的要求 * LPP 数学建模 * 图解法 * 单纯形法、罚函数法 (Big M 法)、两阶段法 * 修正单纯形法 * 对偶理论：对偶问题的构建、对称与非对称对偶、弱对偶定理、互补松弛性定理、主对偶定理 * 对偶单纯形法 * 灵敏度分析 2. **运输问题：** * 建模与求解 * 非平衡运输问题 * 基本可行解的确定：西北角法、最小费用法、VAM 法 * 最优性检验：stepping stone 法、MODI 法 3. **指派问题：** * 介绍 * 问题数学建模 * 匈牙利算法 * n 个作业经两台机床和 m 台机床的加工 * n 个作业经 m 台机床的加工的图解法 * 路径问题、旅行商问题 4. **排队模型：** * 排队系统与结构 * 单服务台和多服务台模型 * 泊松输入、指数服务、恒定服务率 * 有限与无限人口 5. **模拟：** * 模拟方法论、基本概念、模拟步骤 * 模拟应用 * 蒙特卡洛方法：介绍、蒙特卡洛模拟、应用、优点与局限性 6. **动态规划：** * 动态规划的特性 * 动态规划在优先级管理、就业平滑、资本预算、阶段路线/最短路径、货物装载和可靠性问题中的应用 7. **对策论 (博弈论)：** * 竞争性博弈、矩形博弈 * 鞍点 * 极小极大 (minimax) 最优策略法、博弈价值 * 带鞍点的博弈求解、支配原则 * 不带鞍点的矩形博弈：2x2 博弈的混合策略 8. **库存模型：** * 经典 EOQ 模型 * 含价格断点的 EOQ 模型 * 含短缺的 EOQ 模型 * 概率性 EOQ 模型
This mock test is a part of test series of Operations Research. This test series is for all level of learners. It will help you understand your level of understanding of basic knowledge and how to apply it for real life problems. Use it for various types of exams like GATE and IES preparations. Also this test series will be useful in attending viva voce and appearing for job interviews.It includes various topics of Operations Research subject. First being Linear Programming Problem (LPP) which includes Requirements of LPP, Mathematical Formulation of LPP, Graphical method, Simplex Method Penalty Cost Method or Big M-method, Two Phase Method, Revised simplex method, Duality, Primal - Dual construction, Symmetric and Asymmetric Dual, Weak Duality Theorem, Complimentary Slackness Theorem, Main Duality Theorem, Dual Simplex Method, Sensitivity Analysis.Transportation Problem: Formulation, solution, unbalanced Transportation problem. Finding basic feasible solutions - Northwest corner rule, least cost method and Vogel's approximation method. Optimality test: the stepping stone method and MODI method. Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Processing of n Jobs Through Two Machines and m Machines, Graphical Method of Two Jobs m Machines Problem Routing Problem, Travelling Salesman Problem.Second topic being queuing model which includes queuing systems and structures, single server and multi-server models, Poisson input, exponential service, constant rate service, finite and infinite population.Third one is Simulation which includes Methodology of Simulation, Basic Concepts, Simulation Procedure, Application of Simulation Monte-Carlo Method: Introduction, Monte-Carlo Simulation, Applications of Simulation, Advantages of Simulation, Limitations of Simulation.Fourth topic is dynamic programming which includes Characteristics of dynamic programming. Dynamic programming approach for Priority Management employment smoothening, capital budgeting, Stage Coach/Shortest Path, cargo loading and Reliability problems.Fifth topic is game theory which includes Competitive games, rectangular game, saddle point, minimax (maximin) method of optimal strategies, value of the game. Solution of games with saddle points, dominance principle. Rectangular games without saddle point - mixed strategy for 2 X 2 games.Last one being inventory models which includes Classical EOQ Models, EOQ Model with Price Breaks, EOQ with Shortage, Probabilistic EOQ Model.
